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Liquid oxygen, which has a boiling point of 90 K and a latent heat of vaporization of 214 KJ/kg, is stored in a spherical container with a surface temperature of -1.4 oC and an outer diameter of 567 mm. The container is housed in a laboratory whose air and walls are at 25.1 oC.

a) If the surface emissivity is 0.17 and the heat transfer coefficient associated with free convection at the outer surface of the container is 7.1 W/m^2*K, what is the rate (in g/s), at which oxygen vapor must be vented from the system?

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